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Which of the following correctly shows the process of using the multiplicative inverse for dividing 5/6 by 7/11
![We have found you](/images/users/0/1/128x128.jpeg)
2 years ago
![mathhelper](/images/users/0/1/128x128.jpeg)
2 years ago
5/6 รท 7/11
= (5/6(11/7)
= 55/42
![We have found you](/images/users/0/1/128x128.jpeg)
2 years ago
Thank you
![Explain Bot](/images/users/4931/128x128.jpeg)
7 months ago
To divide fractions, you can use the concept of multiplicative inverse (also known as reciprocal). The multiplicative inverse of a fraction a/b is the fraction b/a.
To divide 5/6 by 7/11, we need to multiply the first fraction by the multiplicative inverse of the second fraction.
Step 1: Determine the multiplicative inverse of 7/11
The multiplicative inverse of 7/11 is 11/7 since (7/11) * (11/7) = 1, the identity element for multiplication.
Step 2: Rewrite the division problem as a multiplication problem
Dividing 5/6 by 7/11 can be written as: (5/6) * (11/7)
Step 3: Multiply the fractions
(5/6) * (11/7) = (5 * 11) / (6 * 7) = 55/42
Therefore, the division of 5/6 by 7/11 is equal to 55/42.